Espa ol 12 13 14 G) 16 17 Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The mean shopping time, p, I; spent by customers at the supermarkets has been reported to be 35 minutes, but executives have good reason to believe that p. is different from 35 minutes. ' The executives hire a statistical consultant and ask her to perform a statistical test. El iiil To perform her statistical test, the consultant collects a random sample of shopping times at the supermarkets. She computes the mean of these times to be 30 minutes and the standard deviation of the times to be 12 minutes. 00 Based on this information, complete the parts below. a 5.0 (a) What are the null hypothesis H0 and the alternative hypothesis H] that should be used for the test? l1 x [1 I} H 0 _l_l 9% H1 F 2L :[j gel] (b) Suppose that the consultant decides not to reject the null hypothesis. What sort of error might she be making? \"Choose one) VJ X \\(3 (C) Suppose the true mean shopping time spent by customers at the supermarkets is 27 minutes. Fill in the blanks to describe a Type 11 error. A Type 11 error would be [(Choose one) V 'the hypothesis that p is [(Choose one) V [(Choose one) V i when, in fact, Ll is ' (Choose one) V '- Submit Assignment Espaol \\ 12 13 14 15 17 / An old medical textbook states that the mean sodium level for healthy adults is 142 mEq per liter of blood. A medical researcher believes that, because of I) modern dietary habits, the mean sodium level for healthy adults, [4, now differs from that given in the textbook. A random sample of 80 healthy adults is ' evaluated. The mean sodium level for the sample is 141 mEq per liter of blood. It is known that the population standard deviation of adult sodium levels is 11 El Eiil mEq. Can we conclude, at the 0.10 level of significance, that the population mean adult sodium level differs from that given in the textbook? Perform a two-tailed test. Then complete the parts below. 00 Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) :' 50 a . . . ( ) State the null hypotheSIs HO and the alternative hypotheSIs H1. l1 O p El H : D 0 i s 3 El H' i D II] E El DE] f (b) Determine the type of test statistic to use. (Choose one) V , (c) Find the value of the test statistic. (Round to three or more decimal places.) I] (d) Find the p-value. (Round to three or more decimal places.) I] (e) Can we conclude that the population mean adult sodium level differs from that given in the textbook? OYes O No Submit Assignment Espaol 12 13 14 15 16 Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of 12.2 minutes. The standard deviation 1) of completion times was 1.8 minutes. An analyst at the company suspects that, under new management, the mean completion time, 51, is now less than 12.2 ' minutes. To test this claim, a random sample of 90 completion times under new management was taken by the analyst. The sample had a mean of 12 minutes. Can we support, at the 0.05 level of significance, the claim that the population mean completion time under new management is less than 12.2 minutes? Assume that the population standard deviation of completion times has not changed under new management. 00 Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places, and round your responses as specified below. (If necessary, consult a list of formulas.) {5:9 . . . [Z (a) State the null hypotheSIs H0 and the alternative hypotheSIs H1. ll 0 p H0 1:! _ A x S p H] : :! DE] 3|] = (b) Determine the type of test statistic to use. 3 lzl (Choose one) V1 =11 L (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Can we support the claim that the population mean completion time under new management is less than 12.2 minutes? OYes O No Submit Assignmenl